English

Angles between subspaces

Metric Geometry 2013-06-10 v1 Rings and Algebras

Abstract

We first review the definition of the angle between subspaces and how it is computed using matrix algebra. Then we introduce the Grassmann and Clifford algebra description of subspaces. The geometric product of two subspaces yields the full relative angular information in an explicit manner. We explain and interpret the result of the geometric product of subspaces gaining thus full access to the relative orientation information.

Keywords

Cite

@article{arxiv.1306.1629,
  title  = {Angles between subspaces},
  author = {Eckhard Hitzer},
  journal= {arXiv preprint arXiv:1306.1629},
  year   = {2013}
}

Comments

7 pages, 4 figures

R2 v1 2026-06-22T00:29:41.388Z